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214212312 = 23322975171
BaseRepresentation
bin11001100010010…
…01111011011000
3112221002010001100
430301021323120
5414314243222
633131151400
75210526456
oct1461117330
9487063040
10214212312
11aaa0a976
125b8a5560
13354c2262
14206419d6
1513c154ac
hexcc49ed8

214212312 has 24 divisors (see below), whose sum is σ = 580158540. Its totient is φ = 71404080.

The previous prime is 214212301. The next prime is 214212319. The reversal of 214212312 is 213212412.

It is a happy number.

214212312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2142123122 = 91773829224770688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214212319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1487514 + ... + 1487657.

Almost surely, 2214212312 is an apocalyptic number.

It is an amenable number.

214212312 is an abundant number, since it is smaller than the sum of its proper divisors (365946228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214212312 is a wasteful number, since it uses less digits than its factorization.

214212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975183 (or 2975176 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 214212312 is about 14635.9937141282. The cubic root of 214212312 is about 598.3401457072.

Adding to 214212312 its reverse (213212412), we get a palindrome (427424724).

The spelling of 214212312 in words is "two hundred fourteen million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2975171 5950342 8925513 11900684 17851026 23801368 26776539 35702052 53553078 71404104 107106156 214212312